Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: Motion in one dimension
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Priyesh (1601)

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velocity of particle at time t = ft


at time 2t = ft + 2ft


at time 3t = ft + 2ft + 3ft


at time nt = ft + 2ft + 3ft  +  ...... + nt


so velocity at time nt = n(n+1)/2 * ft


distance travelled = integral zero to t (n(n+1)/2 * ft) dt = n(n+1)/4 * ft^2 


"Imagination is more important than knowledge."
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